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31323046046640 = 2435346955636763
BaseRepresentation
bin1110001111100111101110…
…00010000110101110110000
311002220110020221020200102020
413013303313002012232300
513101144044241443030
6150341335251351440
76412005165261135
oct707636702065660
9132813227220366
1031323046046640
119a870359a3187
12361a7488b2580
13146299acc867a
147a40875ac58c
15394bb70a7510
hex1c7cf7086bb0

31323046046640 has 160 divisors (see below), whose sum is σ = 97161258305280. Its totient is φ = 8347668876288.

The previous prime is 31323046046609. The next prime is 31323046046671. The reversal of 31323046046640 is 4664064032313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31323046046609) and next prime (31323046046671).

It is a super-2 number, since 2×313230460466402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31323046046592 and 31323046046601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4631527899 + ... + 4631534661.

It is an arithmetic number, because the mean of its divisors is an integer number (607257864408).

Almost surely, 231323046046640 is an apocalyptic number.

31323046046640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31323046046640 is an abundant number, since it is smaller than the sum of its proper divisors (65838212258640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31323046046640 is a wasteful number, since it uses less digits than its factorization.

31323046046640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15811 (or 15805 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 31323046046640 in words is "thirty-one trillion, three hundred twenty-three billion, forty-six million, forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3469 5563 6763 6938 10407 11126 13526 13876 16689 17345 20289 20814 22252 27052 27752 27815 33378 33815 34690 40578 41628 44504 52035 54104 55504 55630 66756 67630 69380 81156 83256 83445 89008 101445 104070 108208 111260 133512 135260 138760 162312 166512 166890 202890 208140 222520 267024 270520 277520 324624 333780 405780 416280 445040 541040 667560 811560 832560 1335120 1623120 19298047 23460847 37622569 38596094 46921694 57894141 70382541 75245138 77192188 93843388 96490235 112867707 115788282 117304235 140765082 150490276 154384376 187686776 188112845 192980470 225735414 231576564 234608470 281530164 289470705 300980552 308768752 351912705 375373552 376225690 385960940 451470828 463153128 469216940 563060328 564338535 578941410 601961104 703825410 752451380 771921880 902941656 926306256 938433880 1126120656 1128677070 1157882820 1407650820 1504902760 1543843760 1805883312 1876867760 2257354140 2315765640 2815301640 3009805520 4514708280 4631531280 5630603280 9029416560 130512691861 261025383722 391538075583 522050767444 652563459305 783076151166 1044101534888 1305126918610 1566152302332 1957690377915 2088203069776 2610253837220 3132304604664 3915380755830 5220507674440 6264609209328 7830761511660 10441015348880 15661523023320 31323046046640